王藹農Wang, Ai-Nung臺灣大學:數學研究所張博堯Chang, Po-YaoPo-YaoChang2010-05-052018-06-282010-05-052018-06-282008U0001-1707200813501100http://ntur.lib.ntu.edu.tw//handle/246246/180570這篇文章將1981年Edward Witten正質量定理的證明放到旋轉幾何的結構之下去探討This paper is a complete introduction to the proof of positive energy theorem given by Witten in 1981.Contents. Spin Geometry 1.1. Basic Tools 1.2. Further Examinations 3.3. Classification Theorem 5.4. Representations 6.5. The Spinor Structure Map 9.6. Inner Products 13. Topology 17.1. Homotopy Group 17.2. Obstructions and Spin structures 20.3. Stiefel-Whitney Classes 24.4. Fiber Bundles on Spin Manifolds 26. Positive Energy Theorem 31.1. Backgroud and Statement 31.2. Dirac Operator and Weitzenbock Formula 32.3. The proof of positive energy theorem 36eferences 41application/pdf445034 bytesapplication/pdfen-US正質量定理旋轉幾何蒼井空廣義相對論特徵類纖維叢Positive Energy TheoremSpin GeometryAoi SoraGeneral RelativityCharacteristic ClassesFibre Bundlesthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/180570/1/ntu-97-R95221007-1.pdf